It seems that somebody reasoned that the circle could be approximated by lots of small triangles (two of the triangle's sides being radii of the circle in each case). This method is very similar to that used in modern calculus, to calculated more complicated areas.
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Area formula for circle= --,,- r 2
The formula to find the area of a circle is pi x the radius squared.
There is no specific formula for a sector of a circle. There is a formula for its angle (at the centre), its perimeter, its area.
The formula for the area of a circle is: Area = (pi) x (Radius)2 . When you know the radius of the circle and you use it to calculate the area of the circle, the result will be equal to (pi) x (Radius)2 .
The Egyptians calculated the area of a circle by a formula that gave a aproximate value of 3.1605